Question
A sum of money was lent at simple interest at a certain rate for 3 years. Had it been lent at 2.5% per annum higher rate, it would have fetched Rs.540 more. The money lent was :
Answer: Option C
Answer: (c)If the sum lent be Rs. x, then${x × 2.5 × 3}/100 = 540$$x = {540 × 100}/{2.5 × 3}$ = Rs.7200Using Rule 13,$P_1 = P, R_1 = R, T_1$ = 3$P_2 = P, R_2 = R + 2.5%, T_2$ = 3S.I. = Rs.540540 = ${P × (R + 2.5%) × 3 - P × R × 3}/100$54000 = 7.5PP = $540000/75$P = Rs.7200
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Answer: (c)If the sum lent be Rs. x, then${x × 2.5 × 3}/100 = 540$$x = {540 × 100}/{2.5 × 3}$ = Rs.7200Using Rule 13,$P_1 = P, R_1 = R, T_1$ = 3$P_2 = P, R_2 = R + 2.5%, T_2$ = 3S.I. = Rs.540540 = ${P × (R + 2.5%) × 3 - P × R × 3}/100$54000 = 7.5PP = $540000/75$P = Rs.7200
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